Entanglement evolution after a global quench across a conformal defect
arXiv:2209.03297 · doi:10.21468/SciPostPhys.14.4.070
Abstract
We study the evolution of entanglement after a global quench in a one-dimensional quantum system with a localized impurity. For systems described by a conformal field theory, the entanglement entropy between the two regions separated by the defect grows linearly in time. Introducing the notion of boundary twist fields, we show how the slope of this growth can be related to the effective central charge that emerges in the study of ground-state entropy in the presence of the defect. On the other hand, we also consider a particular lattice realization of the quench in a free-fermion chain with a conformal defect. Starting from a gapped initial state, we obtain the slope via a quasiparticle ansatz and observe small discrepancies between the field theory and lattice results, which persist even in the limit of a vanishing gap.
arXiv commentSubmission to SciPost; References added
References in corpus (59)
- Area laws for the entanglement entropy - a review
- Nonequilibrium dynamics of closed interacting quantum systems
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quantum entanglement in condensed matter systems
- Reduced density matrices and entanglement entropy in free lattice models
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Quantum quenches in 1+1 dimensional conformal field theories
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Quantum Noise as an Entanglement Meter
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Permeable conformal walls and holography
- Nonequilibrium Transport in Quantum Impurity Models (Bethe-Ansatz for open systems)
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- The entanglement entropy of one-dimensional gases
- Integrability of a disordered Heisenberg spin-1/2 chain
- Entanglement through conformal interfaces
- Entanglement entropy with interface defects
- On entanglement evolution across defects in critical chains
- Non-equilibrium DC noise in a Luttinger liquid with impurity
- Solution of the fermionic entanglement problem with interface defects
- On Generalized Gibbs Ensembles with an infinite set of conserved charges
- Entanglement entropy with localized and extended interface defects
- Transport through Quantum Dots: Analytic Results from Integrability
- Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model
- Entanglement entropy in a boundary impurity model
- Entanglement Entropy of Quantum Wire Junctions
- Critical entanglement of XXZ Heisenberg chains with defects
- Universal quench dynamics of interacting quantum impurity systems
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Entanglement entropy in the Ising model with topological defects
- Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
- Exact results for the entanglement across defects in critical chains
- Out-of-equilibrium dynamics in a quantum impurity model: numerics for particle transport and entanglement entropy
- Incoherent transport induced by a single static impurity in a Heisenberg chain
- Approximate light cone effects in a non-relativistic quantum field theory after a local quench
- Non-equilibrium quantum transport in presence of a defect: the non-interacting case
- Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
- Modular Hamiltonians for the massless Dirac field in the presence of a defect
- Unbounded entanglement production via a dissipative impurity
- Time evolution of entanglement negativity across a defect
- Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands
- Entanglement evolution across defects in critical anisotropic Heisenberg chains
- Fano resonances and entanglement entropy
- Entanglement entropy at CFT junctions
- Entanglement evolution across a conformal interface
- Transport through interacting defects and lack of thermalisation
- Entanglement negativity in a fermionic chain with dissipative defects: Exact results
- Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions
- Expectation values of twist fields and universal entanglement saturation of the free massive boson
- Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions
- Quench dynamics of noninteracting fermions with a delta impurity
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- Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
- Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
- Extensive Long-Range Entanglement at Finite Temperatures from a Nonequilibrium Bias
- Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
- Dynamics and steady states of tight-binding chains in presence of isolated defects
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